Answer:
h=6
Step-by-step explanation:
19h-7=23+14h
-7-23=14h-19h
-30=-5h
h=6
This is one of the special right triangles known as a 30, 60, 90 triangle. (Characterized by its angles)
In these triangles, the shortest leg is HALF the length of the hypotenuse.
The longest leg is (√3) times the length of the short leg.
Therefore, the shortest leg is 20, and the longest leg is 20(√3)
FINAL ANSWER:
SHORT LEG: 20 units
LONG LEG: 20√3 units
Answer:
b
Step-by-step explanation:
A = l x w
so you know that the length is 3m longer than the width, so you could use a formula to represent that
w = l + 3
you then substitute the second equation into the first to solve for l
70 = l x (l +3)
70 = l^2 + 3l
you could then rearrange the formula and solve for l using the quadratic formula
0 = l^2 + 3l - 70
l = -3 +- (square root (3)^2 - 4(1)(70)) / 2(1)
l = -3 +- (square root 9 + 280) / 2
l = -3 +- (square root 289) / 2
l = -3 +- 17 / 2
then you solve for the two seperate roots
l = -3 + 17 /2
l = 14 / 2
l = 7
or
l = -3 - 17 / 2
l = -20 / 2
l = -10
since a length cannot be negative, this root is not viable. therefore l = 7
to solve for w you would use
w = l + 3
w = 7 + 3
w = 10
hope this helps! if you did not understand a step or concept please let me know!
Answer:The angles are 63 degrees and 27 degrees
This is true because when you subtract 27 from 63 you get 36. And when you add 27 to 63 you get 90 aka the complimentary angle we’re looking for.
